Phases of Higher Dimensional Black Holes

Abstract

We review some of the most striking properties of the phase diagrams of higher dimensional black holes in pure gravity. We focus on static black hole solutions with Kaluza-Klein asymptotics and stationary black hole solutions in flat Minkowski space. Both cases exhibit a rich pattern of interconnected phases and merger points with topology changing transitions. In the first case, the phase diagram includes uniform and non-uniform black strings, localized black holes and sequences of Kaluza-Klein bubbles. In the latter case, it includes Myers-Perry black holes, black rings, black saturns and pinched black holes.

21 pages, 9 figures. Invited review for Modern Physics Letters A; v2 references added

References in corpus (41)

• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Strings and p-Branes are Unstable
• A rotating black ring in five dimensions
• Black Holes in Theories with Large Extra Dimensions: a Review
• A supersymmetric black ring
• The Instability of Charged Black Strings and p-Branes
• Generalized Weyl Solutions
• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• Stress Tensors and Casimir Energies in the AdS/CFT Correspondence
• Stationary and Axisymmetric Solutions of Higher-Dimensional General Relativity
• On non-uniform black branes
• Black Rings
• A generalization of Hawking's black hole topology theorem to higher dimensions
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Instabilities of Black Strings and Branes
• A critical dimension in the black-string phase transition
• Connecting black holes and black strings
• The first law of black brane mechanics
• Properties of Kaluza-Klein black holes
• Small Black Holes on Cylinders
• Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes
• Extremal vacuum black holes in higher dimensions
• A boundary value problem for the five-dimensional stationary rotating black holes
• Tension Perturbations of Black Brane Spacetimes
• New Phase Diagram for Black Holes and Strings on Cylinders
• Black Rings, Boosted Strings and Gregory-Laflamme
• On Black-Brane Instability In an Arbitrary Dimension
• Phase Structure of Black Holes and Strings on Cylinders
• Caged Black Holes: Black Holes in Compactified Spacetimes I -- Theory
• Caged Black Holes: Black Holes in Compactified Spacetimes II - 5d Numerical Implementation
• Nonuniform black strings in various dimensions
• When Black Holes Meet Kaluza-Klein Bubbles
• Matched Asymptotic Expansion for Caged Black Holes - Regularization of the Post-Newtonian Order
• Analytic approximation to 5 dimensional Black Holes with one compact dimension
• On the stability of AdS black strings
• A Positivity Theorem for Gravitational Tension in Brane Spacetimes
• Multi-black hole configurations on the cylinder
• Kinematical bound in asymptotically translationally invariant spacetimes
• Perturbative non uniform black strings in ${AdS}_6$

Cited by in corpus (11)

• Essentials of Blackfold Dynamics
• New Horizons for Black Holes and Branes
• Black Rings in Taub-NUT and D0-D6 interactions
• Blackfolds in (Anti)-de Sitter Backgrounds
• Alternative approach to thermodynamic phase transitions
• Lumps of plasma in arbitrary dimensions
• Nutty Kaluza-Klein dyons revisited
• Black Topologies Production in Extra Dimensions
• Non Uniform Black Strings and Critical Dimensions in $Ad{S}_d$
• Stability of the warped black string with nontrivial topology in five-dimensional Anti-de Sitter spacetime
• On critical dimension in spherical black brane phase transition